Question
Download Solution PDFIn how many ways can the letters of the word INDIA be permutated such that in each combination, vowels should occupy odd positions?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Word 'INDIA' contains three vowels (I, I and A) and two consonants (N and D).
Three vowels (I, I and A) can be arranged at odd position in \(\frac{3!}{2!} = 3 \) ways
2 consonants(N and D) can be arranged in 2! ways = 2 ways.
Thus, required numbers of ways = (3) (2) = 6.
∴ Option (b) is correct.
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